组合曲面造型的符号操作

Symbol Operations on Combination Curved Surface Modeling

根据当前几何造型的发展趋势，制造业对非闭曲面设计的迫切需求，以及为发展集成几何造型系统的造型手段，本文对一般组合曲面的造型理论作了探讨，提出了组合曲面邻域半空间新概念，建立了空间点对组合曲面的分类体系。为组合曲面造型手段的符号化奠定了理论基础。在此基础上，作者研究了基于组合曲面的集合运算、欧拉操作，并提出了对组合曲面操作的一个新的符号算子──ＴＧ操作。

ccording to the trend of current geometric modeling system, the urgent need for non-closed surface design in manufaceture, and to develop modeling methods in integral Geometric Modeling System.Authors research the theory of general combination surface, and puts forward a new concept-neighborhood half space. Using the new concept, we can establish 3 dimentional points system against combination surface.On the work above, authors research the Boolean operatiom, Euler operation of combination surface systematically, and advance a new symbol operator for combination surface TG operation.